document.write( "Question 844309: (Can someone please help me with this question?)
\n" ); document.write( "The sum of two numbers is 3. Four times the larger number plus three times the smaller number is 25. Find the numbers. \r
\n" ); document.write( "\n" ); document.write( "The larger number is___?
\n" ); document.write( "and the smaller number is___?
\n" ); document.write( "

Algebra.Com's Answer #508665 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Let the number be \"+a+\" and \"+b+\"
\n" ); document.write( "and assume \"+b+\" is the larger
\n" ); document.write( "given:
\n" ); document.write( "(1) \"+a+%2B+b++=+3+\"
\n" ); document.write( "(2) \"+4b+%2B+3a+=+25+\"
\n" ); document.write( "--------------------
\n" ); document.write( "Multiply both sides of (1) by \"+3+\"
\n" ); document.write( "and subtract (1) from (2)
\n" ); document.write( "(2) \"+3a+%2B+4b+=+25+\"
\n" ); document.write( "(1) \"+-3a+-+3b+=+-9+\"
\n" ); document.write( "--------------------
\n" ); document.write( "\"+b+=+16+\"
\n" ); document.write( "and
\n" ); document.write( "(1) \"+a+%2B+b++=+3+\"
\n" ); document.write( "(1) \"+a+%2B+16++=+3+\"
\n" ); document.write( "(1) \"+a+=+-13+\"
\n" ); document.write( "-------------------
\n" ); document.write( "\"+a+=+-13+\"
\n" ); document.write( "\"+b+=+16+\"
\n" ); document.write( "-----------
\n" ); document.write( "check:
\n" ); document.write( "(2) \"+4b+%2B+3a+=+25+\"
\n" ); document.write( "(2) \"+4%2A16+%2B+3%2A%28-13%29+=+25+\"
\n" ); document.write( "(2) \"+64+-+39+=+25+\"
\n" ); document.write( "(2) \"+25+=+25+\"
\n" ); document.write( "OK\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );